Accès gratuit
Numéro
J. Phys. IV France
Volume 01, Numéro C4, Novembre 1991
EUROPEAN SYMPOSIUM ON MARTENSITIC TRANSFORMATION AND SHAPE MEMORY PROPERTIES
Page(s) C4-59 - C4-64
DOI http://dx.doi.org/10.1051/jp4:1991408
EUROPEAN SYMPOSIUM ON MARTENSITIC TRANSFORMATION AND SHAPE MEMORY PROPERTIES

J. Phys. IV France 01 (1991) C4-59-C4-64

DOI: 10.1051/jp4:1991408

HETEROGENEOUS NUCLEATION AT A SINGLE DEFECT AND SUBSEQUENT GROWTH OF MARTENSITIC PHASE TRANSITIONS

R.J. GOODING and G.S. BALES

Dept of Physics, Queen's University, Kingston, Ontario Canada K7L 3N6


Abstract
A description of heterogeneous nucleation at a single defect, followed by the evolution of the nucleus as it grows in the parent phase background, is given. The theory is based on a nonlinear and nonlocal elastic free energy expansion, and the main assumption in our treatment is that of the interface separating parent and martensitic phases being completely coherent. The nucleating event is simply the response of the parent phase to the stress field of a defect that couples to the order parameter strain describing the transition. At the first-order transition temperature, around a weak defect, a small strain is produced. Then, after supercooling the system through the bulk transition temperature, a martensitic nucleus may appear, and we follow its growth as described by the deterministic dynamics of the elastic field. We show that the growth is going to lead to a twinned product phase due to dynamical energy reasons, viz. minimizing the kinetic energy, in contrast to the static energetics arguments of nonlinear elastic theories. Thus, this evolution of a martensitic embryo provides a simple and natural explanation of the phenomenon of autocatalytic twin formation.



© EDP Sciences 1991